Least Common Multiple of 9821 and 9826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9821 and 9826 the smallest integer that is 96501146 that is divisible by both numbers.

Least Common Multiple (LCM) of 9821 and 9826 is 96501146.

LCM(9821,9826) = 96501146

LCM of 9821 and 9826

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9821 and 9826

LCM of 9821 and 9826 is 96501146

Least common multiple can be found by multiplying the highest exponent prime factors of 9821 and 9826. First we will calculate the prime factors of 9821 and 9826.

Prime Factorization of 9821


7 9821
23 1403
61 61
1

Prime factors of 9821 are 7, 23,61. Prime factorization of 9821 in exponential form is:

9821 = 71×231×611

Prime Factorization of 9826


2 9826
17 4913
17 289
17 17
1

Prime factors of 9826 are 2,17. Prime factorization of 9826 in exponential form is:

9826 = 21×173

Now multiplying the highest exponent prime factors to calculate the LCM of 9821 and 9826.

LCM(9821,9826) = 21×71×173×231×611
LCM(9821,9826) = 96501146

Factors of 9821

List of positive integer factors of 9821 that divides 9821 without a remainder.

1, 7, 23, 61, 161, 427, 1403, 9821

Factors of 9826

List of positive integer factors of 9826 that divides 9826 without a remainder.

1, 2, 17, 34, 289, 578, 4913, 9826

Least Common Multiple of 9821 and 9826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9821 and 9826, than apply into the LCM equation.

GCF(9821,9826) = 1
LCM(9821,9826) = ( 9821 × 9826) / 1
LCM(9821,9826) = 96501146 / 1
LCM(9821,9826) = 96501146

Properties of LCM 9821 and 9826

(i) The LCM of 9826 and 9821 is associative

LCM of 9821 and 9826 = LCM of 9826 and 9821

Related Least Common Multiples of 9821

Related Least Common Multiples of 9826

Frequently Asked Questions on LCM of 9821 and 9826

1. What is the LCM of 9821 and 9826?

Answer: LCM of 9821 and 9826 is 96501146.

2. What are the Factors of 9821?

Answer: Factors of 9821 are 1, 7, 23, 61, 161, 427, 1403, 9821. There are 8 integers that are factors of 9821. The greatest factor of 9821 is 9821.

3. What are the Factors of 9826?

Answer: Factors of 9826 are 1, 2, 17, 34, 289, 578, 4913, 9826. There are 8 integers that are factors of 9826. The greatest factor of 9826 is 9826.

4. How to Find the LCM of 9821 and 9826?

Answer:

Least Common Multiple of 9821 and 9826 = 96501146

Step 1: Find the prime factorization of 9821

9821 = 7 x 23 x 61

Step 2: Find the prime factorization of 9826

9826 = 2 x 17 x 17 x 17

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 96501146 = 2 x 7 x 17 x 17 x 17 x 23 x 61

Step 4: Therefore, the least common multiple of 9821 and 9826 is 96501146.